Carl, Seth, Ethan and Peter shared $450. Peter received ²₃ of the total amount of money received by Carl, Seth and Ethan. Carl received ¹₄ of the total amount for Seth and Ethan. Seth received ¹₂ as much money as Ethan. If Ethan gave all his money to Peter, how much did Peter have more than Seth in the end?

Carl	Seth	Ethan	Peter	Total
3x5			2x5	5x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	10 u	25 u

The total amount that Seth and Ethan have is repeated.  Make the total amount of Seth and Ethan the same.  LCM of 3 and 4 is 12.

The total amount that Carl, Seth and Ethan have is repeated.  Make the total amount of Carl, Seth and Ethan the same. LCM of 15 and 3 is 15.

Total amount that Carl, Seth, Ethan and Peter shared = 25 u

25 u = 450

1 u = 450 ÷ 25 = 18

	Carl	Seth	Ethan	Peter
Before	3 u	4 u	8 u	10 u
Change			- 8 u	+ 8 u
After	3 u	4 u	0 u	18 u

Amount that Peter had if Ethan gave him all his money
= 10 u + 8 u
= 18 u

Amount that Peter had more than Seth
= 18 u - 4 u
= 14 u
= 14 x 18
= $252

Answer(s): $252